This paper considers 61 optimal control problems with full state feedback. In contrast to ,~ optimal control, previous work has shown that linear {1 optimal controllers can be dynamic and of arbitrarily high order. However, this paper shows that continuous memoryless nonlinear state feedback performs as well as dynamic linear state feedback. The derivation , which is nonconstructive, relies on ...

Most control techniques require the use of a plant model during the design phase in order to tune the controller parameters. The mathematical models are an approximation of real systems and contain imperfections by several reasons: use of low-order descriptions, unmodelled dynamics, obtaining linear models for a specific operating point (working with poor performance outside of this working poi...

Both theory and experiment strongly suggest that new phenomena await discovery above the energy range of the standard model for particle physics (SM). We argue that a correct description of physics in the Terascale sector needs to account for the unquenched randomness induced by short-distance fluctuations. The existence of unparticles, alleged to emerge at the next-generation colliders, is mot...

Lecture 1: Feedback, sensitivity, and complexity A central paradigm of control theory is that feedback shapes sensitivity. This lecture will review the basics of this theory and its relevance to analyse complex systems, when understood as large networks of interconnected systems. Lecture 2: Sensitivity analysis of neuronal behaviors The heritage of Hodgkin and Huxley confers a unique place to n...

A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...

We suggest that in the framework of the Category Theory it is possible to demonstrate the mathematical and logical dual equivalence between the category of the q-deformed Hopf Coalgebras and the category of the q-deformed Hopf Algebras in quantum field theory (QFT), interpreted as a thermal field theory. Each pair algebra-coalgebra characterizes a QFT system and its mirroring thermal bath, resp...

We test a class of holographic models for the very early Universe against cosmological observations and find that they are competitive to the standard cold dark matter model with a cosmological constant (ΛCDM) of cosmology. These models are based on three-dimensional perturbative superrenormalizable quantum field theory (QFT), and, while they predict a different power spectrum from the standard...

In this paper a Multi-objective Honey Bee Mating Optimization (MOHBMO) technique is applied to damp power system oscillation by tuning the Power System Stabilizer (PSS) parameters. Selecting the parameters of PSS which simultaneously stabilize system oscillations is converted to a simple optimization problem which is solved by a HBMO. In the proposed syndicate tuning technique, two performances...

Motion control and robust path tracking were extended to non square MIMO systems having more outputs then inputs in this work. The Non square Relative Gain array (NRG) has been used to assess the performance of non-square control systems based on steady-state information. Using NRG and the SSE (Sum of Square Error), a square subsystem can be selected. MIMO-QFT (Quantitative Feedback Theory) rob...